Syracuse, N.Y. -- Central New York could see severe thunderstorms Tuesday that could bring heavy rain, damaging winds, hail and even a tornado, the National Weather Service said.

"There is increasing confidence for a round of strong to severe thunderstorms Tuesday afternoon into early Tuesday night, especially across New York state," the weather service said. "Damaging winds and heavy rain will be the primary threats.

"However: Large hail, and even an isolated tornado cannot be ruled out," the weather service said in a public briefing issued for the potential storms. (See complete briefing below.)

A tornado touched down in Verona just a mile from Turning Stone casino on June 17 . The weather service had predicted a 2 percent chance of a tornado that day.